5(3x-5)-3=8(x-4)+18

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Solution for 5(3x-5)-3=8(x-4)+18 equation:


Simplifying
5(3x + -5) + -3 = 8(x + -4) + 18

Reorder the terms:
5(-5 + 3x) + -3 = 8(x + -4) + 18
(-5 * 5 + 3x * 5) + -3 = 8(x + -4) + 18
(-25 + 15x) + -3 = 8(x + -4) + 18

Reorder the terms:
-25 + -3 + 15x = 8(x + -4) + 18

Combine like terms: -25 + -3 = -28
-28 + 15x = 8(x + -4) + 18

Reorder the terms:
-28 + 15x = 8(-4 + x) + 18
-28 + 15x = (-4 * 8 + x * 8) + 18
-28 + 15x = (-32 + 8x) + 18

Reorder the terms:
-28 + 15x = -32 + 18 + 8x

Combine like terms: -32 + 18 = -14
-28 + 15x = -14 + 8x

Solving
-28 + 15x = -14 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
-28 + 15x + -8x = -14 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-28 + 7x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-28 + 7x = -14 + 0
-28 + 7x = -14

Add '28' to each side of the equation.
-28 + 28 + 7x = -14 + 28

Combine like terms: -28 + 28 = 0
0 + 7x = -14 + 28
7x = -14 + 28

Combine like terms: -14 + 28 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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